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arXiv · 0905.1178

On Parallel Lines and Free Group

Kwai-Man Fan
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Abstract

We show that the fundamental group of the complement of an arrangement of complex lines in the complex plane is a free group if and only if the arrangement is a union of parallel lines.

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Kwai-Man Fan. 2009-05-08. On Parallel Lines and Free Group. https://arxiv.org/abs/0905.1178

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